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Chapter 4: Q 245 (page 458)

Evaluate each determinant by expanding by minors.

4-133-22-104

Short Answer

Expert verified

The required value of the determinant is-24

Step by step solution

01

Step 1. Given information

The determinant is4-133-22-104

02

Step 2. Expand by minors along the third row to evaluate determinant

4-133-22-104=-1-13-22-04332+44-13-2=-1[(-1)(2)-(3)(-2)]-0+4[(4)(-2)-(-1)(3)]=-1[4]-0+4[-5]=-4-0-20=-24

03

Step 3. Required answer

The required value of the determinant is-24

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